We want to interpolate functions at points x 2, x 1 and x 4 For this, we create the interpolating polynomials 1 () ( 2) ( (1)), 2 () ( 2) ( 4) and 3 () ( (1)) ( 4) Expand these polynomials and write their coordinates in the standard base of polynomials ( 2 , , 1) of 2

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Question: We want to interpolate functions at points x= 2, x= -1 and x= 4. For this, we create the interpolating polynomials 1 () = (

We want to interpolate functions at points x= 2, x= -1 and x= 4. For this, we create the interpolating polynomials

₁() = ( 2) ( (1)), ₂() = ( 2) ( 4) and ₃() = ( (1)) ( 4). Expand these polynomials and write their coordinates in the standard base of polynomials (², , 1) of ₂[].

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